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Why parthood might be a four-place relation, and how it behaves if it is

In Benedikt Schick, Edmund Runggaldier & Ludger Honnefelder (eds.), Unity and Time in Metaphysics. Walter de Gruyter (2009)

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  1. Propositions and Parthood: The Universe and Anti-Symmetry.Chris Tillman & Gregory Fowler - 2012 - Australasian Journal of Philosophy 90 (3):525 - 539.
    It is plausible that the universe exists: a thing such that absolutely everything is a part of it. It is also plausible that singular, structured propositions exist: propositions that literally have individuals as parts. Furthermore, it is plausible that for each thing, there is a singular, structured proposition that has it as a part. Finally, it is plausible that parthood is a partial ordering: reflexive, transitive, and anti-symmetric. These plausible claims cannot all be correct. We canvass some costs of denying (...)
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  • Essence Facts and Explanation.Chris Tillman - 2016 - Thought: A Journal of Philosophy 5 (3):190-195.
    Some essence facts have metaphysical explanations. Some metaphysical explanations for essence facts consist in nonessential facts.
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  • Plenty of Room for Multilocation.Jeroen Smid - 2021 - Erkenntnis 88 (6):1-14.
    Classical mereology is a particularly strong theory about the part–whole relation. Not only does it ensure that any collection of entities composes a whole, or ‘fusion’, it also states that this object is unique: no two entities have the same parts. Recently, Claudio Calosi (dialectica 68(1):121–139, 2014) has argued that this extensional aspect makes classical mereology incompatible with multilocated entities. Calosi’s argument is arguably the most precise one from a whole battery of arguments to the effect that some mereological principle (...)
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  • Plenty of Room for Multilocation.Jeroen Smid - 2023 - Erkenntnis 88 (6):2365-2378.
    Classical mereology is a particularly strong theory about the part–whole relation. Not only does it ensure that any collection of entities composes a whole, or ‘fusion’, it also states that this object is unique: no two entities have the same parts. Recently, Claudio Calosi (dialectica 68(1):121–139, 2014) has argued that this extensional aspect makes classical mereology incompatible with multilocated entities. Calosi’s argument is arguably the most precise one from a whole battery of arguments to the effect that some mereological principle (...)
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  • Mind the Gap: The Space between Coincidence and Colocation.Jeroen Smid - 2021 - Journal of Philosophical Logic 51 (1):57-73.
    In debates about the metaphysics of material objects examples of colocated objects are commonly taken to be examples of coincidence too. But the argument that colocation is best understood as involving coincidence is never spelled out. This paper shows under what conditions colocation entails coincidence and argues that the entailment depends on a principle that actually rules out certain forms of colocation. This undermines the argument from colocation to coincidence.
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  • Mereology and time travel.Carlo Proietti & Jeroen Smid - 2020 - Philosophical Studies 177 (8):2245-2260.
    Core principles of mereology have been questioned by appealing to time travel scenarios. This paper questions the methodology of employing time travel scenarios to argue against mereology. We show some time travel scenarios are structurally equivalent to more standard ones not involving time travel; and that the three main theories about persistence through time can each solve both the time travel scenario as well as the structurally similar classical scenario. Time travel scenarios that are not similar to more standard arguments (...)
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  • Real Presence in the Eucharist and time-travel.Martin Pickup - 2015 - Religious Studies 51 (3):379-389.
    This article aims to bring some work in contemporary analytic metaphysics to discussions of the Real Presence of Christ in the Eucharist. I will show that some unusual claims of the Real Presence doctrine exactly parallel what would be happening in the world if objects were to time-travel in certain ways. Such time-travel would make ordinary objects multiply located, and in the relevantly analogous respects. If it is conceptually coherent that objects behave in this way, we have a model for (...)
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  • Mereological Destruction and Relativized Parthood: A Reply to Costa and Calosi.Jonathan D. Payton - 2023 - Erkenntnis 88 (4):1797-1806.
    Metaphysicians of various stripes claim that a single object can have more than one exact location in space or time – e.g. endurantists claim that an object persists by being ‘all there’ at different moments in time. Antony Eagle has developed a formal theory of location which is prima facie consistent with multi-location, but Damiano Costa and Claudio Calosi argue that the theory is unattractive to multi-location theorists on other grounds. I examine their charge that Eagle’s theory won’t allow an (...)
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  • Enduring Through Gunk.Matt Leonard - 2018 - Erkenntnis 83 (4):753-771.
    According to one of the more popular endurantist packages on the market, a package I will call multilocational endurantism, enduring objects are exactly located at multiple instantaneous regions of spacetime. However, for all we know, the world might turn out to be spatiotemporally gunky and spatiotemporal gunk entails that this package is false. The goal of this paper is to sketch a view which retains the spirit of multilocational endurantism while also recognizing the possibility of certain types of objects which (...)
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  • Multilocation and mereology.Shieva Kleinschmidt - 2011 - Philosophical Perspectives 25 (1):253-276.
    Multilocation and Minimal Mereology do not mix well. It has been pointed out that Three-Dimensionalism, which can be construed as multilocation-friendly, runs into trouble with Weak Supplementation. But in fact, regardless of one’s theory of persistence, if someone posits the possibility of any one of several kinds of multilocation, he or she will not be able to maintain the necessity of any of the three axioms of Minimal Mereology: the Transitivity of Proper Parthood, the Asymmetry of Proper Parthood, and Weak (...)
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  • Composition and the Logic of Location: An Argument for Regionalism.Cody Gilmore & Matt Leonard - 2020 - Mind 129 (513):159-178.
    Ned Markosian has recently defended a new theory of composition, which he calls regionalism : some material objects xx compose something if and only if there is a material object located at the fusion of the locations of xx. Markosian argues that regionalism follows from what he calls the subregion theory of parthood. Korman and Carmichael agree. We provide countermodels to show that regionalism does not follow from, even together with fourteen potentially implicit background principles. We then show that regionalism (...)
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  • Weak Location.Antony Eagle - 2019 - Dialectica 73 (1-2):149-181.
    Recently, many philosophers have been interested in using locative relations to clarify and pursue debates in the metaphysics of material objects. Most begin with the relation of exact location. But what if we begin instead with the relation known as weak location – the relation an object x bears to any region not completely bereft of x? I explore some of the consequences of pursuing this route for issues including coincidence, extended simples, and endurance, with an eye to evaluating the (...)
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  • Grounding and Supplementation.T. Scott Dixon - 2016 - Erkenntnis 81 (2):375-389.
    Partial grounding is often thought to be formally analogous to proper parthood in certain ways. Both relations are typically understood to be asymmetric and transitive, and as such, are thought to be strict partial orders. But how far does this analogy extend? Proper parthood is often said to obey the weak supplementation principle. There is reason to wonder whether partial grounding, or, more precisely, proper partial grounding, obeys a ground-theoretic version of this principle. In what follows, I argue that it (...)
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  • Transitivity When the Same are Distinct.Eric de Araujo - 2022 - Erkenntnis 88 (7):2893-2909.
    It is widely assumed that the identity relation is, among other things, transitive. Some have proposed that the identity relation might hold between objects contingently or occasionally. If, on those proposals, identity is shown to not be transitive, then there is reason to reject such proposals. One such argument attempts to show that the identity relation on such proposals violates transitivity in cases of ‘simultaneous’ fissions and fusion. I argue that, even in those cases, contingent identity and occasional identity are (...)
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  • Inheriting harmony.Claudio Calosi - 2022 - Analysis 82 (1):23-32.
    Supersubstantivalism, the view that material objects are identical to their locations, has recently been defended in metaphysics and philosophy of physics. One of the most powerful arguments in its favour is the so-called argument from harmony. There is a certain harmony between material objects and their locations. Necessarily, if material object x is located at a spherical region, x is spherical. Necessarily, if material object x is located at region r, any part of x is located at a part of (...)
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  • Extensionality, Multilocation, Persistence.Claudio Calosi - 2014 - Dialectica 68 (1):121-139.
    The paper addresses various questions about the logical and metaphysical relations between notions of parthood, location and persistence. In particular it argues that the conjunction of mereological extensionalism and multilocation, is highly problematic, if not utterly inconsistent. It thus provides an alternate route to reject multilocation, one that does not rely on Barker and Dowe's well known argument, at least for those who endorse extensionality of parthood. It then argues that other major metaphysical theses such as three-dimensionalism turn out to (...)
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  • A New Taxonomy of Persisting (Relativistic) Objects.Claudio Calosi & Vincenzo Fano - 2015 - Topoi 34 (1):283-294.
    The paper presents a thorough exploration of the problem of persistence in a relativistic context. Using formal methods such as mereology, formal theories of location and the so called intrinsic formulation of special relativity we provide a new, more rigorous and more comprehensive taxonomy of persisting entities. This new taxonomy differs significantly from the ones that are present in the recent literature.
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